- adjunctions
- n. addition of something; addition of a modifying word or phrase (Grammar)
English contemporary dictionary. 2014.
English contemporary dictionary. 2014.
Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… … Wikipedia
Monad (category theory) — For the uses of monads in computer software, see monads in functional programming. In category theory, a branch of mathematics, a monad, Kleisli triple, or triple is an (endo )functor, together with two natural transformations. Monads are used in … Wikipedia
Completeness (order theory) — In the mathematical area of order theory, completeness properties assert the existence of certain infima or suprema of a given partially ordered set (poset). A special use of the term refers to complete partial orders or complete lattices.… … Wikipedia
Mathematical morphology — A shape (in blue) and its morphological dilation (in green) and erosion (in yellow) by a diamond shape structuring element. Mathematical morphology (MM) is a theory and technique for the analysis and processing of geometrical structures, based on … Wikipedia
Comma category — In mathematics, a comma category (a special case being a slice category) is a construction in category theory. It provides another way of looking at morphisms: instead of simply relating objects of a category to one another, morphisms become… … Wikipedia
Limit (category theory) — In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint… … Wikipedia
Monoidal functor — In category theory, monoidal functors are functors between monoidal categories which preserve the monoidal structure. More specifically, a monoidal functor between two monoidal categories consists of a functor between the categories, along with… … Wikipedia
Monoidal adjunction — Suppose that and are two monoidal categories. A monoidal adjunction between two lax monoidal functors and is an adjunction (F,G,η,ε) between the underlying functors, such that the natural transformations … Wikipedia
Chomskybot — The Chomskybot is a program that generates paragraphs which appear similar to those in the corpus of Noam Chomsky s linguistic works, but are humorously devoid of any meaning, by combining at random phrases taken from Chomsky s actual works. The… … Wikipedia
Equivalence of categories — In category theory, an abstract branch of mathematics, an equivalence of categories is a relation between two categories that establishes that these categories are essentially the same . There are numerous examples of categorical equivalences… … Wikipedia